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Place Value & Decimal Comparisons

Learn about place value through millions and how to compare and order whole numbers and decimals.

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Place Value & Decimal Comparisons

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  1. Chapter 1 PLACE VALUE

  2. Lesson 1 – PLACE VALUE THROUGH MILLIONS • Standard form: 804,932,008 • *Each group of three digits is called a periodand is separated by a comma • Word form: eight hundred four million, nine hundred thirty-two thousand, eight • *When you get to the comma, say the period • * • Expanded form: 8 x 100,000,000 + 4x 4,000,000 + 9x 100,000 + 3 x 10,000 + 2 x 1,000 + 8 • *Split up the number using place value. For example, an 8 in the hundred millions place equals 8 x 100,000,000.

  3. Lesson 2 – compare and order whole numbers • You can line up the numbers to compare • Example: 76,552 Ο 76,852 • 76,552 • 76,852 5 < 8 so • 76,552 < 76,852

  4. Lessons 3 & 4 – Relating fractions and decimals • Examples: • 7 = 0.7 54 = 0.54 17 = 0.017 • 10 100 1,000

  5. Lessons 5 & 6 – Place value of decimals • Word form 0.55 • 1. Say the decimal as a whole number • fifty-five • Label the place value. In what column does the number end? • hundredths • Word form is fifty-five hundredths

  6. Lessons 5 & 6 – Place value of decimals • Standard form twenty-seven thousandths • 1. What is the place value? • Thousandths = 0. __ __ __ • Place the numbers to the right • 0. 02 7 • Standard form is 0.027

  7. Lessons 5 & 6 – Place value of decimals • Expanded form 0.95 • Multiply each number by it’s place value. • 0.95 = (9 x 1/10) + (5x 1/100)

  8. Lessons 7 & 8 – compare and order decimals • You can line up the numbers to compare • Example: 0.592 Ο 0.512 • 0.592 • 0.512 9 > 1 so • 0.592 > 0.512

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